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# If m^(k + 1) = m^(k^2 + 1), what is m^k?

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Math Expert
Joined: 02 Sep 2009
Posts: 64068
If m^(k + 1) = m^(k^2 + 1), what is m^k?  [#permalink]

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10 Sep 2017, 20:44
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Difficulty:

55% (hard)

Question Stats:

71% (01:41) correct 29% (01:14) wrong based on 50 sessions

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If $$m^{(k + 1)} = m^{(k^2 + 1)}$$, what is m^k?

(1) m = 2
(2) k ≠ 2

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Joined: 14 Sep 2016
Posts: 123
Re: If m^(k + 1) = m^(k^2 + 1), what is m^k?  [#permalink]

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10 Sep 2017, 22:52

Since if we reduce give condition further down we will get m^k=m^k^2

1) If m = 2 then k can either be 0 or 1 but using these two values we will get m^k as 2 or 1 hence, not sufficient
2) if k is not equal to 2, in this case value of m is unknown m can take any value plus k can any value apart from 2. Not sufficient

Both statement together doesn't provide much info.

Re: If m^(k + 1) = m^(k^2 + 1), what is m^k?   [#permalink] 10 Sep 2017, 22:52